This paper is inspired by the theoretical proposal in Ref. [1]},
which postulates the existence a new, strongly-coupled fundamental theory with \(Sp(4)\)  gauge group,
interprets the SM Higgs-doublet fields
in terms of the composite pseudo-Nambu-Goldstone bosons (PNGBs)
describing the spontaneous breaking of an approximate \(SU(4)\)  symmetry
(acting on \(N_f=2\)  Dirac fermions transforming on the fundamental representation of \(Sp(4)\) )
to its \(Sp(4)\)  subgroup,
and furthermore reinterprets the SM top quark as a partially composite object,
resulting from the mixing with composite fermions, dubbed
chimera baryons (the constituents of which are an admixture of fermions
transforming in the fundamental and anisymmetric representation of \(Sp(4)\) ).
In the rest of this introduction, we explain why this model is particularly interesting,
standing out in the
BSM literature. The body of the paper is devoted to reporting
a set of lattice results demonstrating that our collaboration
has put in place and tested successfully all the lattice field theory tools that are necessary to
perform a systematic, quantitative analysis of the non-perturbative features of
this strongly-coupled theory.
